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On the Wielandt length of a finite supersoluble group

Published online by Cambridge University Press:  11 July 2007

A. Ali
A. Ali
Affiliation:
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
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Abstract

We develop a technique for calculating the Wielandt subgroup of a semidirect product of two finite groups of coprime order. We apply this technique to calculate the Wielandt length of a supersoluble group in terms of the Wielandt lengths of its Sylow subgroups (for small Wielandt lengths) and in terms of the nilpotency classes of its Sylow subgroups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1217 - 1226
Copyright
Copyright © Royal Society of Edinburgh 2000

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